Comparative analysis of analytical solutions for $F_2^P$ at small $x$ in DGLAP approach

Abstract

Coupled DGLAP equations involving singlet quark and gluon distributions are explored by a Taylor expansion as two first order partial differential equations in two variables. The system of equations are then solved by the Lagrange's method and Method of Characteristics. We obtain the proton structure function by combining the corresponding non-singlet and singlet structure functions by both the methods. Analytical solutions for proton structure function thus obtained are compared with the data available and their compatibility is checked. Data favors the analytical solution by Lagrange's method.

15 pages , 4 figures

References in corpus (4)

• Parton distributions for the LHC
• Deep inelastic cross-section measurements at large y with the ZEUS detector at HERA
• Evolution of singlet structure functions from DGLAP equation at next-to-next-to-leading order at small-x
• Method of characteristics and solution of DGLAP evolution equation in leading order (LO) and next to leading order (NLO) at small-x

Cited by in corpus (2)

• Momentum Fractions carried by quarks and gluons in models of proton structure functions at small $x$
• A study of structure functions with the DGLAP: equations at small $x$ with $O(x)$ and $O(x^2)$